multiple choice\nwhich of the following is ac...
multiple choice\nwhich of the following is accurate?\nin the data set 1, 1, 3, 4, 5, 7, 9, 11, 18, the mode is 18.\nin the data set 1, 1, 2, 3, 4, 4, 9, 9, 13, 13, 13, the mode is 4.\nin the data set 1, 3, 4, 5, 7, 9, 11, 18, the median is 7.\nin the data set 1, 1, 2, 3, 4, 4, 9, 9, 13, 13, 13, 14, the median is 6.5.\nquestion # 11\nmultiple choice\nwhy is it essential for researchers to adhere to ethical principles when conducting research?\nto ensure that the research causes no harm to participants\nto ensure that participants will participate in all research studies\nto ensure that the results match researcher predictions\nto ensure adherence to the institutional review board laws
Answer
### First Question
# Explanation:
## Step1: Recall mode and median definitions
Mode is most - frequent value, median for \(n\) values (sorted) is middle value (\(n\) odd) or average of two middle values (\(n\) even).
## Step2: Analyze first data - set \([1,1,3,4,5,7,9,11,18]\)
Mode is 1 (appears twice, others once), not 18.
## Step3: Analyze second data - set \([1,1,2,3,4,4,9,9,13,13,13]\)
Mode is 13 (appears 3 times, more than 4 which appears 2 times).
## Step4: Analyze third data - set \([1,3,4,5,7,9,11,18]\)
There are \(n = 8\) values. Middle values are 5 and 7. Median is \(\frac{5 + 7}{2}=6\), not 7.
## Step5: Analyze fourth data - set \([1,1,2,3,4,4,9,9,13,13,13,14]\)
There are \(n = 12\) values. Middle values are 4 and 9. Median is \(\frac{4+9}{2}=6.5\).
# Answer:
In the data set \([1,1,2,3,4,4,9,9,13,13,13,14]\), the median is 6.5.
### Second Question
# Brief Explanations:
Ethical principles in research safeguard participants from physical, psychological, or social harm. This is a fundamental aspect of research integrity.
# Answer:
to ensure that the research causes no harm to participants